Answer:The complete sentences are:
Angles 7 and 8 are vertical opposite angles.
The special angles created are vertically opposite angles and adjacent angles.
The value of y is 24, and the measure of angles 7 and 8 is 89 degrees
Relationship between <7 and <8
From the attached figure, we can see that:
The point of intersection of lines C and D created 4 angles.
A pair of angles are either vertically opposite angles or adjacent angles.
Using the second highlight above, we have:
The above means that:
Angles 7 and 8 are congruent
The congruence relationship between both angles is vertically opposite angles.
Special angles created by lines C and D
Using the second highlight above, we have:
This means that, the special angles created are:
Vertically opposite angles
Adjacent angles
Value of y, and the measures of <7 and <8
We have:
--- vertically opposite angles
Collect like terms!
Divide both sides by 2
To calculate <7, we have:
---- adjacent angles
Substitute 24 for y
Subtract 91 from both sides
Hence, the measure of angles 7 and 8 is 89 degrees
Explanation: